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Finding the Third Proportional to 106,984 and 165,089

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Solution

The third proportional to 106,984 and 165,089 is: 254,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,984 : 165,089 = 165,089 : x
  2. Step 2: Convert to fraction form
    106,984/165,089 = 165,089/x
  3. Step 3: Cross multiply
    106,984x = 165,089 × 165,089
  4. Step 4: Simplify right side
    106,984x = 27,254,377,921
  5. Step 5: Solve for x
    x = 27,254,377,921/106,984
  6. Step 6: Final answer
    x = 254,751.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.